38671451280 has 960 divisors, whose sum is σ = 170474803200. Its totient is φ = 7621447680.

The previous prime is 38671451257. The next prime is 38671451333. The reversal of 38671451280 is 8215417683.

38671451280 is a `hidden beast` number, since 386 + 7 + 145 + 128 + 0 = 666.

It is a super-2 number, since 2×38671451280² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107719741 + ... + 107720099.

It is an arithmetic number, because the mean of its divisors is an integer number (177577920).

Almost surely, 2^38671451280 is an apocalyptic number.

38671451280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38671451280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85237401600).

38671451280 is an abundant number, since it is smaller than the sum of its proper divisors (131803351920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38671451280 is a wasteful number, since it uses less digits than its factorization.

38671451280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 38671451280 in words is "thirty-eight billion, six hundred seventy-one million, four hundred fifty-one thousand, two hundred eighty".